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Simplifying 3(x + 1) + -4(y + -1) = 13 Reorder the terms: 3(1 + x) + -4(y + -1) = 13 (1 * 3 + x * 3) + -4(y + -1) = 13 (3 + 3x) + -4(y + -1) = 13 Reorder the terms: 3 + 3x + -4(-1 + y) = 13 3 + 3x + (-1 * -4 + y * -4) = 13 3 + 3x + (4 + -4y) = 13 Reorder the terms: 3 + 4 + 3x + -4y = 13 Combine like terms: 3 + 4 = 7 7 + 3x + -4y = 13 Solving 7 + 3x + -4y = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 3x + -7 + -4y = 13 + -7 Reorder the terms: 7 + -7 + 3x + -4y = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 3x + -4y = 13 + -7 3x + -4y = 13 + -7 Combine like terms: 13 + -7 = 6 3x + -4y = 6 Add '4y' to each side of the equation. 3x + -4y + 4y = 6 + 4y Combine like terms: -4y + 4y = 0 3x + 0 = 6 + 4y 3x = 6 + 4y Divide each side by '3'. x = 2 + 1.333333333y Simplifying x = 2 + 1.333333333y
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